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Finding the Third Proportional to 24,262 and 37,472

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Solution

The third proportional to 24,262 and 37,472 is: 57,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262 : 37,472 = 37,472 : x
  2. Step 2: Convert to fraction form
    24,262/37,472 = 37,472/x
  3. Step 3: Cross multiply
    24,262x = 37,472 × 37,472
  4. Step 4: Simplify right side
    24,262x = 1,404,150,784
  5. Step 5: Solve for x
    x = 1,404,150,784/24,262
  6. Step 6: Final answer
    x = 57,874.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.